Geodesic
Chainable properties of semigroups of nonnegative matrices
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 810-822 Cet article a éte moissonné depuis la source Math-Net.Ru

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The theorem by Protasov and Voynov on the combinatorial structure of semigroups of nonnegative matrices extends a well-known result of Frobenius on the canonical form of an irreducible nonnegative matrix. We generalize the Protasov — Voynov theorem to not necessarily irreducible semigroups of matrices. For this purpose, an extensions of the concepts of imprimitivity index and canonical partition are introduced which are based on the chain properties of nonnegative matrices.
Keywords: chainable index.
Mots-clés : nonnegative matrices, chainable matrices 
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Yu. A. Alpin; A. E. Guterman; E. R. Shafeev. Chainable properties of semigroups of nonnegative matrices. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 810-822. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a5/

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